Q7 of 44 Page 14

Spherical ball of diameter 21cm is melted and recasted into cubes, each of side 1 cm. Find the number of cubes thus formed. [Use π=22/7]

Diameter of sphere = 21 cm


So,



=


= 11 × 21 × 21


= 4851cm3


Volume of cube = a3 = 13


Let number of cubes formed be n, then


Volume of sphere = n × (volume of cube)


⇒ 4851 =n×1


⇒ n = 4851


Hence, number of cubes is 4851.


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